What is the general solution for sin(x)= 1/(3.5) ?

The general solution for sin(x)= 1/(3.5) is x=0.28975…+2pin,x=pi-0.28975…+2pin

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sin(x)= 1/(3.5)

sin (x) = \frac{1}{3.5}

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn

Degrees

x = 16.60154 \dots^{\circ} + 36 0^{\circ} n, x = 163.39845 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{1}{3.5}

Apply trig inverse properties

sin (x) = \frac{1}{3.5}

General solutions for

sin (x) = \frac{1}{3.5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{1}{3.5}) + 2 πn, x = π - arcsin (\frac{1}{3.5}) + 2 πn

x = arcsin (\frac{1}{3.5}) + 2 πn, x = π - arcsin (\frac{1}{3.5}) + 2 πn

Show solutions in decimal form

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn

tan (θ) = 5, 96

1 = 1 - cos (θ)

tan (\frac{θ}{3}) = 3 sin (4 8^{\circ})

\frac{cos ( x ) cot ( x )}{1 - sin ( x )} = csc (x)

2 cos^{2} (x) - 9 sin (x) - 3 = 0

What is the general solution for sin(x)= 1/(3.5) ?
The general solution for sin(x)= 1/(3.5) is x=0.28975…+2pin,x=pi-0.28975…+2pin